A global attractor for a image-Laplacian parabolic problem Original Research Article

In this work we study the asymptotic behavior of a p(x)p(x)-Laplacian parabolic problem of the form ut−Δp(x)(u)=B(u)ut−Δp(x)(u)=B(u) in a bounded smooth domain View the MathML sourceΩ in RNRN under Dirichlet boundary conditions. We prove, under suitable assumptions, the existence of a compact invariant global BB-attractor in View the MathML sourceL2(Ω).